A Universal Budget for Entanglement and Nonlocal Non-Stabilizerness

arXiv:2609.31841 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Entanglement — 44× in this paper · explained in 4 episodes
• Verifier — 8× in this paper · explained in 2 episodes
• Verification — 5× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Entanglement Entropy — 3× in this paper · explained in 2 episodes
• Homogeneity — 3× in this paper · explained in 2 episodes
• Frustration — 2× in this paper · explained in 2 episodes
• Stabilizer States — 2× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Spectral Geometry — 1× in this paper · explained in 2 episodes

Sources

• The Heisenberg Representation of Quantum Computers
• Nonlocal nonstabilizerness for slightly entangled quantum many-body states
• Non-Local Magic from the Entanglement Spectrum
• Schmidt-Gauge Non-Local Magic: Representation, Optimality, and Mathematical Properties
• Entanglement, anti-flatness, and nonlocal nonstabilizerness: a unified perspective from entanglement spectrum

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